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Finding the Fourth Proportional to 747.72, 1,121.72 and 220.64

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Solution

The fourth proportional to 747.72, 1,121.72 and 220.64 is: 330.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.72 : 1,121.72 = 220.64 : x
  2. Step 2: Convert to fraction form
    747.72/1,121.72 = 220.64/x
  3. Step 3: Cross multiply
    747.72x = 1,121.72 × 220.64
  4. Step 4: Simplify right side
    747.72x = 247,489.59
  5. Step 5: Solve for x
    x = 247,489.59/747.72
  6. Step 6: Final answer
    x = 330.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.